The surface of the area

What is the order of rotational symmetry for a rhombus? 1 2 3 4

BartSMP [9]

Answer: A rhombus has order of rotational symmetry of 2

Step-by-step explanation:

We know that a geometric figure has rotational symmetry if it maps onto itself under rotation about an angle at its center.

The order of rotational symmetry is the number of times the geometric figure maps onto itself during a rotation of 360°.

[ At 180° and 360° it maps onto itself]

A rhombus maps onto itself two times during a rotation of 360°

Hence, A rhombus has order of rotational symmetry of 2.

9 0

3 years ago

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B(n)=1 (-2)^n-1 What is the 4th term in the sequence

Vera_Pavlovna [14]

Answer:

The 4th term in the sequence is -8.

Step-by-step explanation:

The nth term of the sequence B is given by:

$B(n) = (-2)^{n-1}$

So the fourth term will be given by:

B when n = 4, that is, B(4).

$B(4) = (-2)^{4-1} = (-2)^{3} = -8$

The 4th term in the sequence is -8.

3 0

3 years ago

Zia is building a plastic model rocket that has the combined shape of a cone and a cylinder as shown. additionally, the cylinder

scoray [572]

Answer:

226 cm^3

The mass of plastic used to make cylinder is greater

Step-by-step explanation:

Given:-

- The density of cone material, ρc = 1.4 g / cm^3

- The density of cylinder material, ρl = 0.8 g / cm^3

Solution:-

- To determine the volume of plastic that remains in the cylinder after gouging out a hemispherical amount of material.

- We will first consider a solid cylinder with length ( L = 10 cm ) and diameter ( d = 6 cm ). The volume of a cylinder is expressed as follows:

$V_L =\pi \frac{d^2}{4} * L$

- Determine the volume of complete cylindrical body as follows:

$V_L = \pi \frac{(6)^2}{4} * 10\\\\V_L = 90\pi cm^3\\$

- Where the volume of hemisphere with diameter ( d = 6 cm ) is given by:

$V_h = \frac{\pi }{12}*d^3$

- Determine the volume of hemisphere gouged out as follows:

$V_h = \frac{\pi }{12}*6^3\\\\V_h = 18\pi cm^3$

- Apply the principle of super-position and subtract the volume of hemisphere from the cylinder as follows to the nearest ( cm^3 ):

$V = V_L - V_h\\\\V = 90\pi - 18\pi \\\\V = 226 cm^3$

Answer: The amount of volume that remains in the cylinder is 226 cm^3

- The volume of cone with base diameter ( d = 6 cm ) and height ( h = 5 cm ) is expressed as follows:

$V_c = \frac{\pi }{12} *d^2 * h$

- Determine the volume of cone:

$V_c = \frac{\pi }{12} *6^2 * 5\\\\V_c = 15\pi cm^3$

- The mass of plastic for the cylinder and the cone can be evaluated using their respective densities and volumes as follows:

$m_i = p_i * V_i$

- The mass of plastic used to make the cylinder ( after removing hemispherical amount ) is:

$m_L = p_L * V\\\\m_L = 0.8 * 226\\\\m_L = 180.8 g$

- Similarly the mass of plastic used to make the cone would be:

$m_c = p_c * V_c\\\\m_c = 1.4 * 15\pi \\\\m_c = 65.973 g$

Answer: The total weight of the cylinder ( m_l = 180.8 g ) is greater than the total weight of the cone ( m_c = 66 g ).

8 0

3 years ago

PLS HELPPP ASAP MATH

HACTEHA [7]

Answer:

B. 2x + 4y

Step-by-step explanation:

If x = 4, and y = 7, let's substitute these values for x and y in the equations!

For A, the equation is 2xy. Substitute the values and you have 2(4)(7) which equals 56. This expression is incorrect since the expression doesn't equal 36.

For B, the equation is 2x + 4y. Substitute and you get the equation

2(4) + 4(7) → 8 + 28 = 36.

36 is your desired value, and you get that with the expression 2x + 4y.

6 0

3 years ago

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Is someone willing to answer and solve this number 4 for me please I'll thank you

____ [38]

2 x 10^7= 20,000,000
4 x 10^6= 4,000,000
20,000,000 - 4,000,000= 16,000,000.
In SI Notation its 16 x 10^6...
I don't really know it but i tried

4 0

3 years ago

The surface of the area​

The surface of the area